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Finding the Fourth Proportional to 686,471.34, 947,282.67 and 380,544.78

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Solution

The fourth proportional to 686,471.34, 947,282.67 and 380,544.78 is: 525,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,471.34 : 947,282.67 = 380,544.78 : x
  2. Step 2: Convert to fraction form
    686,471.34/947,282.67 = 380,544.78/x
  3. Step 3: Cross multiply
    686,471.34x = 947,282.67 × 380,544.78
  4. Step 4: Simplify right side
    686,471.34x = 360,483,475,252.96
  5. Step 5: Solve for x
    x = 360,483,475,252.96/686,471.34
  6. Step 6: Final answer
    x = 525,125.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.